Presents a strategy for graphing conic sections on the polar plane without using a table of values by beginning with information gained from the graphs of circular functions. (MKR)

Explores quadratic functions using the graphing calculator. Discoveries are made graphically whereas hypotheses are proven algebraically. Includes traditional quadratics, other algebraic quadratics, nonpolynomial quadratics, transcendental quadratics, and proofs. (MKR)

Demonstrates the mathematical nature of a pollution problem in a marine environment. Includes reproducible student worksheets. (11 references) (MKR)

Presents a summary report of a discussion subgroup of the Algebra Working Group at the Seventh International Conference on Mathematics Education held in Quebec City, Canada in August 1992. Argues that pre-algebra should be viewed as a continuation of arithmetic that asks different questions about numbers. (12 references) (Author/MKR)

Discussed are two approaches to determining which regular polygons, either inscribed within or circumscribed about the unit circle, exhibit rational area or rational perimeter. One approach involves applications of abstract theory from a typical modern algebra course, whereas the other approach employs material from a traditional…

Relates, in story form, how to make geometric and algebraic concepts more accessible to children by using one-dimensional grids. (MKR)

Groups of 30 students each in an algebra minicourse and semester course and 45 each in an accounting minicourse and semester course showed no significant differences in course grade point average or overall average. Students choosing the intensive minicourse format were generally older, indicating that adults find this format more useful and…

Reported is a study of types of errors exhibited by students of intermediate algebra at the college level and the effect the time of day instruction has on students' performance. Results indicated that two types of errors, conceptual and prerequisite, and that student performance is better in the morning. (MDH)

Develops the formulas for the sum of the numbers from 1 to n and for the squares of the numbers from 1 to n geometrically by utilizing the formulas for the area of a triangle and the volume of a pyramid. (MDH)

Describes a process for creating a more diverse set of experiences for undergraduate students in mathematics by focusing on linear algebra. Emphasizes that the diversity of the activities is generated in part through the use of a taxonomy that addresses the nature of the activities rather than a hierarchy of levels of difficulty. Contains 13…

In standard mathematical notation it is common to have a given symbol take on different meanings in different settings. Shares anecdotes of how this symbolic double entendre causes difficulties for students. Suggests ways in which instructors can clarify these ambiguities to make mathematics more understandable to students. (Author/ASK)

Presents four related problems that provide examples of ways to include justifications of interesting mathematics in courses taught prior to a geometry course. (ASK)

Examines the status of Broward County (Florida) Public Schools high school students, who must satisfy the district's algebra requirement in order to graduate. Data indicate that the majority of district students are meeting the new, higher standards; 80% of seniors in school year 1998-99 had previously completed the algebra requirement. (MLH)

Investigates secondary mathematics teachers' use of the graphing calculator in their classrooms. Examines whether algebra teachers are currently using this technology in their classrooms, their perceptions toward the technology, and any changes in the curriculum or instructional practices. Indicates that the use of the graphing calculator is still…

Describes investigative choices made and strategies used by students to solve problems in classrooms that provided access to a computer algebra system (CAS). Reports that technology-neutral mathematics questions were attempted by approximately equal numbers of students using CAS and traditional paper and pencil. Reveals that students who used the…